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4066999400 = 2352195631901
BaseRepresentation
bin1111001001101001…
…0111110001101000
3101111102202222100102
43302122113301220
531312122440100
61511321524532
7202532632052
oct36232276150
911442688312
104066999400
1117a7795932
12956043748
134ca77c529
142a81d48d2
1518c0abcd5
hexf2697c68

4066999400 has 96 divisors (see below), whose sum is σ = 9976370400. Its totient is φ = 1537632000.

The previous prime is 4066999397. The next prime is 4066999423. The reversal of 4066999400 is 49996604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2138450 + ... + 2140350.

It is an arithmetic number, because the mean of its divisors is an integer number (103920525).

Almost surely, 24066999400 is an apocalyptic number.

4066999400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4066999400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988185200).

4066999400 is an abundant number, since it is smaller than the sum of its proper divisors (5909371000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4066999400 is a wasteful number, since it uses less digits than its factorization.

4066999400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 47.

The square root of 4066999400 is about 63773.0303498273. The cubic root of 4066999400 is about 1596.2149330619.

The spelling of 4066999400 in words is "four billion, sixty-six million, nine hundred ninety-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 563 760 950 1126 1900 1901 2252 2815 3800 3802 4504 5630 7604 9505 10697 11260 14075 15208 19010 21394 22520 28150 36119 38020 42788 47525 53485 56300 72238 76040 85576 95050 106970 112600 144476 180595 190100 213940 267425 288952 361190 380200 427880 534850 722380 902975 1069700 1070263 1444760 1805950 2139400 2140526 3611900 4281052 5351315 7223800 8562104 10702630 20334997 21405260 26756575 40669994 42810520 53513150 81339988 101674985 107026300 162679976 203349970 214052600 406699940 508374925 813399880 1016749850 2033499700 4066999400